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Consider the equation [tex]$3p - 7 + p = 13$[/tex].

What is the resulting equation after the first step in the solution?

A. [tex$2p - 7 = 13$[/tex]
B. [tex[tex]$4p - 7 = 13$[/tex][/tex]
C. [tex$\rho - 7 = 13 - 3n$[/tex]


Sagot :

To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], we need to simplify and combine like terms. Let's go through the steps:

1. Start with the original equation:
[tex]\[3p - 7 + p = 13\][/tex]

2. Combine the like terms (terms involving [tex]\(p\)[/tex]) on the left side:
- We have [tex]\(3p\)[/tex] and [tex]\(p\)[/tex].
- [tex]\(3p + p\)[/tex] simplifies to [tex]\(4p\)[/tex].

3. Write the simplified equation:
[tex]\[4p - 7 = 13\][/tex]

So, the resulting equation after simplifying and combining the like terms is:
[tex]\[4p - 7 = 13\][/tex]

The correct answer is:
[tex]\[\boxed{4p - 7 = 13}\][/tex]